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Finding the Fourth Proportional to 53,830.98, 74,291.58 and 29,962.98

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Solution

The fourth proportional to 53,830.98, 74,291.58 and 29,962.98 is: 41,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.98 : 74,291.58 = 29,962.98 : x
  2. Step 2: Convert to fraction form
    53,830.98/74,291.58 = 29,962.98/x
  3. Step 3: Cross multiply
    53,830.98x = 74,291.58 × 29,962.98
  4. Step 4: Simplify right side
    53,830.98x = 2,225,997,125.71
  5. Step 5: Solve for x
    x = 2,225,997,125.71/53,830.98
  6. Step 6: Final answer
    x = 41,351.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.